Barlutti, how about mounting a tepee shaped cover over a raised bed, say 12" above the ground, in the head end tripod? Bet it wouldn't take the puppy long to accept it.
nice idea. I have a old blue tarp that will work great. plus she gets all the benefits of being above ground also for tonight she gets her normal bed (4" of super foam and her blanky) on the poncho and an old wool blanket thrown over her